Skip to main content
Log in

The Ancestral Homeland of the Carriers of the Proto-Indo-European Language: Mathematical Models for the Study of Linguistic Information

  • AUTOMATION OF TEXT PROCESSING
  • Published:
Automatic Documentation and Mathematical Linguistics Aims and scope

Abstract—This paper presents the results of theoretical analysis and computer modeling, which suggest that two main linguistic populations characterized today as the division of Indo-European languages into the so-called “satem-centum” language ranges could emerge in the model Indo-European language community approximately 3500–4000 years ago. The results of computer modeling show that among the two main hypotheses of the formation of the Proto-Indo-Europeans (the Anatolian and Kurgan hypotheses), the latter corresponds to the time estimates we obtained to a greater extent. Some of the problems of the search for the ancestral homeland of the peoples that were carriers of the Proto-Indo-European language are analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

Notes

  1. The Swadesh List is a method that was proposed by American linguist Morris Swadesh for assessing the degree of kinship (proximity) between different languages based on the sign such as the similarity of the most stable basic vocabulary. As a rule, this is a standardized list of basic lexemes of a language, which is ordered according to decrease in their “basicity” (historical resistance to disappearance from use). The standard Swadesh List in any language includes only the most simple, obvious, basic, modern meaning of a word. The minimum set of the most important vocabulary is contained in the Swadesh 100-word list. As an example, the first ten items in the Swadesh 100-word list for the Russian language are as follows: я; ты, вы; мы; это; то; кто; что; не; всё, все; много.

REFERENCES

  1. Egorova, M., Egorov, A., Solovieva, T., and Stezhenskaya, L., On two models of distribution and changes of linguistic information in Indo-European model language communities, Proceedings of the 4th International Multidisciplinary Scientific Conference on Social Sciences and Arts SGEM'2017, March 28–31, 2017, Extended Scientific Sessions, Vienna, Sofia, 2017, book 3, vol. 1, pp. 155–168. https://doi.org/10.5593/SGEMSOCIAL2017/HB31/S10.021

  2. Egorov, A.A. and Egorova, M.A., About models of the distribution of linguistic information in the language community, Tez. dokl. XXI Vseros. konf. “Teoreticheskie osnovy konstruirovaniya chislennykh algoritmov i reshenie zadach matematicheskoi fiziki” (5–11 sentyabrya 2016 g., g. Novorossiisk, Abrau-Dyurso) (Proc. XXI All-Russian Conf. Theoretical Foundations of Designing Numerical Algorithms and Solving Problems of Mathematical Physics (September 5–11, 2016, Novorossiysk, Abrau-Durso)), Moscow, 2016, pp. 82–83.

  3. Komp'yutery i nelineinye yavleniya: Informatika i sovremennoe estestvoznanie (Computers and Non-Linear Phenomena: Informatics and Modern Science), Moscow: Nauka, 1988.

  4. Gilmore, R., Catastrophe Theory for Scientists and Engineers, NY: Wiley, 1981.

    MATH  Google Scholar 

  5. Chang, W., Cathcart, C., Hall, D., and Garrett, A., Ancestry-constrained phylogenetic analysis supports the Indo-European steppe hypothesis, Language, 2015, vol. 91, no. 1, pp. 194–244.

    Article  Google Scholar 

  6. Anthony, D.W., The Horse, the Wheel, and Language: How Bronze-Age Riders from the Eurasian Steppes Shaped the Modern World, Princeton: Princeton University Press, 2007.

    Google Scholar 

  7. Kornai, A., Mathematical Linguistics, London: Springer, 2008.

    Book  MATH  Google Scholar 

  8. Burlak, S.A. and Starostin, S.A., Sravnitel’no-istoricheskoe yazykoznanie (Comparative Historical Linguistics), Moscow: Izd. Tsentr Akademiya, 2005.

  9. Atlas yazykov mira. Proiskhozhdenie i razvitie yazykov vo vsem mire (Atlas of World Languages. The Origin and Development of Languages around the World), Moscow: Lik press, 1998.

  10. Yakhontov, S.E., Assessment of the proximity of related languages, in Teoreticheskie osnovy klassifikatsii yazykov mira (Theoretical Foundations of the Classification of World Languages), Moscow: Nauka, 1980.

  11. Ethnologue: Languages of the world. https://www.ethnologue.com.

  12. Starostin, G.S., et al., K istokam yazykovogo raznoobraziya (To the Origins of Linguistic Diversity), Moscow: Izd. dom Delo RANKhiGS, 2015.

  13. Gray, R.D. and Atkinson, Q.D., Language-tree divergence times support the Anatolian theory of Indo-European origin, Nature, 2003, vol. 426, pp. 435–439.

    Article  Google Scholar 

  14. Pereltsvaig, A. and Lewis, M.W., The Indo-European Controversy: Facts and Fallacies in Historical Linguistics, Cambridge: Cambridge University Press, 2015.

    Book  Google Scholar 

  15. Mikhailov, A.P., Petrov, A.P., Marevtseva, N.A., and Tret’yakova, I.V., Development of a model of information dissemination in society, Mat. Model., 2014, vol. 26, no. 3, pp. 65–74.

    MathSciNet  MATH  Google Scholar 

  16. Labov, W., Transmission and diffusion, Language, 2007, vol. 83, pp. 344–387.

    Article  Google Scholar 

  17. Heggarty, P., Maguire, W., and McMahon, A., Splits or waves? Trees or webs? How divergence measures and network analysis can unravel language histories, Philos. Trans. R. Soc., B 2010, vol. 365, pp. 3829–3843.

  18. Haak, W., Lazaridis, I., Patterson, N., et al., Massive migration from the steppe is a source for Indo-European languages in Europe, Nature, 2015, vol. 522, pp. 207–211.

    Article  Google Scholar 

  19. Lazaridis, I., Patterson, N., Mittnik, A., et al., Ancient human genomes suggest three ancestral populations for present-day Europeans, Nature, 2014, vol. 513, pp. 409–428.

    Article  Google Scholar 

  20. Arkaim—Sintashta: Drevnee nasledie Yuzhnogo Urala (Arkaim—Sintashta: The ancient heritage of the Southern Urals), Chelyabinsk: Izd. Chelyab. Gos. Univ., 2010.

  21. Underhill, P.A., Myres, N.M., Rootsi, S., Metspalu, M., Zhivotovsky, M.A., King, R.J., et al., Separating the post-Glacial coancestry of European and Asian Y chromosomes within haplogroup R1a, Eur. J. Hum. Genet., 2010, vol. 18, pp. 479–484.

    Article  Google Scholar 

  22. Klyosov, A.A. and Rozhanskii, I.L., Haplogroup R1a as the Proto Indo-Europeans and the legendary Aryans as witnessed by the DNA of their current descendants, Adv. Anthropol., 2012, vol. 2, no. 1, pp. 1–13.

    Article  Google Scholar 

  23. Arsenin, V.Ya., Metody matematicheskoi fiziki i spetsial’nye funktsii (Methods of Mathematical Physics and Special Functions), Moscow: Nauka, 1974.

  24. Nakhushev, A.M., Uravneniya matematicheskoi biologii (Equations of Mathematical Biology), Moscow: VSh, 1995.

  25. Murray, J.D., Lectures on Nonlinear-Differential-Equation Models in Biology, Clarendon Press, 1977.

    MATH  Google Scholar 

  26. Guts, A.K., Korobitsyn, V.V., Laptev, A.A., Pautova, L.A., and Frolova, Yu.V., Matematicheskie modeli sotsial’nykh sistem (Mathematical Models of Social Systems), Omsk: Omsk. Gos. Univ., 2000.

  27. Yaglom, A.M. and Yaglom, I.M., Veroyatnost’ i informatsiya (Probability and Information), Moscow: Nauka, 1973.

  28. Mathematical Modeling, Andrews, J.G. and McLone, R.R., Eds., London: Butterworts, 1976.

  29. Lee, T.D., Mathematical Methods of Physics, New York: Columbia University, 1965.

    MATH  Google Scholar 

  30. Gulyaev, V.I., Shumer. Vavilon. Assiriya: 5000 let istorii (Schumer. Babylon. Assyria: 5,000 Years of History), Moscow: Aleteiya, 2004.

  31. Cinnioglu, C., King, R., Kivisild, T., Kalfoglu, E., et al., Excavating Y-chromosome haplotype strata in Anatolia, Hum. Genet., 2004, vol. 114, pp. 127–148.

    Article  Google Scholar 

  32. Ryan, W. and Pitman, W., Noah’s Flood: The New Scientific Discoveries about the Event that Changed History, New York: Symon & Schuster, 1999.

    Google Scholar 

Download references

Funding

This article was prepared under the support of the 5–100 Program of the Russian People’s Friendship University (RUDN University).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to M. A. Egorova or A. A. Egorov.

Ethics declarations

The authors declare that they have no conflict of interest.

Additional information

Translated by L. Solovyova

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Egorova, M.A., Egorov, A.A. The Ancestral Homeland of the Carriers of the Proto-Indo-European Language: Mathematical Models for the Study of Linguistic Information. Autom. Doc. Math. Linguist. 53, 127–137 (2019). https://doi.org/10.3103/S0005105519030026

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0005105519030026

Keywords:

Navigation